Yoshito Ishiki

4 citations · 8 across the 3 of their papers we have counts for

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math.MG2022★ 1 cited

Simultaneous extensions of metrics and ultrametrics of high power

Yoshito Ishiki

In this paper, generalized metrics mean metrics taking values in general linearly ordered Abelian groups. Using the Hahn fields, we first prove that for every generalized metric sp…

math.MG2022★ 4 cited

Extending proper metrics

Yoshito Ishiki

We first prove a version of Tietze-Urysohn's theorem for proper functions taking values in non-negative real numbers defined on $σ$ -compact locally compact Hausdorff spaces. As its…

math.MG2022★ 3 cited

On comeager sets of metrics whose ranges are disconnected

Yoshito Ishiki

For a metrizable space $X$ , we denote by $Met (X)$ the space of all metric that generate the same topology of $X$ . The space $Met (X)$ is equipped with the supremum…